具有超临界相位的特殊拉格朗日型方程的Neumann问题  

THE NEUMANN PROBLEM FOR A SPECIAL LAGRANGIAN TYPE EQUATION WITH SUPERCRITICAL PHASE

作　　者：贾皓皓 许文昭 JIA Hao-hao;XU Wen-zhao(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《数学杂志》2023年第6期471-486,共16页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(12171260)。

摘　　要：本文研究了R^(n)空间中具有超临界相位的特殊拉格朗日型方程的Neumann的问题.得到解的全局C^(2)估计并通过连续性方法建立了古典解的存在性定理.In this paper,we explore the Neumann problem for special lagrangian type equa-tions with supercritical phase in R^(n).We show the global C^(2) a priori estimates of the solution and establish the existence of classical solutions by the methods of continuity.

关 键 词：NEUMANN问题 特殊拉格朗日型方程 超临界相位 

分 类 号：O175.25[理学—数学]